Answer:
the absolute value of a imaginary number is somewhat similar to a distance between the two points.
Step-by-step explanation:
by absolute value of an imaginary number a+i b we mean the distance of the origin (0, 0) and the point (a,b) in the complex plane
i.e. [tex]\sqrt{a^{2} +b^{2} }[/tex]
whereas distance between two points ([tex]x_{1}[/tex],[tex]x_{2}[/tex]) and ([tex]y_{1}[/tex],[tex]y_{2}[/tex]) is given by [tex]\sqrt{(x_{1}-y_{1} )^2+( x_{2}-y_{2})^2}[/tex]
if ( [tex]y_{1}[/tex],[tex]y_{2}[/tex])=(0,0) then it is similar to the absolute value of a complex number of the type x+i y.
